Could the extra swelling and soreness be part of the rhino healing process or infection?

The discomfort in your nose three months after a Rhinoplasty may not be infection, unless if you have a dorsal nasal implant. Certainly visit your surgeon so you can obtain a diagnosis and be treated appropriately. Hope this helps. Dr. Joseph 

Hi and thank you for your inquiry. I'm sorry to hear you are experiencing discomfort. It's normal after a rhinoplasty, to experience bruising and swelling. The final healing time can take up to 1 year. I suggest you address your concerns at your upcoming appointment with your doctor. It is too soon to say that there is a problem. 
All the best,
Dr. Gary Linkov